To determine if the lengths given create a right triangle you can set up equations. According to Pythagorean Theorem, the square of the longest side would equal the sum of the squares of the smallest 2 sides.
1st given set: 15 + 25 < 64
This CANNOT be a right triangle. The sum of the 2 smallest sides is less than the sum of the longest side.
2nd given set: 64 + 100 < 256
This CANNOT be a right triangle. Again, the sum of the 2 smallest sides is less than the sum of the longest side.
3rd given set: 3,4,5
This CAN be a right triangle. These 3 numbers are multiples of 7, and if you factored 7 out of them you are left with 3,4,5 which is a triple. Triples are combinations of numbers that are guaranteed to create right triangles. 3,4,5 is one of the most basic triples. Hope this helps!
Hello there
the answer your looking for is x=2
Step 1: Simplify both sides of the equation.
−8=−7(−4x+8)+8(x−3)
−8=(−7)(−4x)+(−7)(8)+(8)(x)+(8)(−3)(Distribute)
−8=28x+−56+8x+−24
−8=(28x+8x)+(−56+−24)(Combine Like Terms)
−8=36x+−80
−8=36x−80
Step 2: Flip the equation.
36x−80=−8
Step 3: Add 80 to both sides.
36x−80+80=−8+80
36x=72
Step 4: Divide both sides by 36.
36x
36
=
72
36
x=2
thank you
E and f were a little complicated.
Let's assume
x is number of hours worked
y is amount paid
Since, this is linear relationship
We can select any two points
(2,36.50) and (4,73)
so, we can also write as
x1=2 , y1 =36.50
x2=4 , y2=73
Firstly, we can find slope
we can plug values
now, we can use point slope form of line
we can plug values
now, we can solve for y
or
..............Answer
Answer:
2
Step-by-step explanation:
-2y + 2y = 0
10 - 8 = 2